Unified approach to the SU(2) Principal Chiral Field model at Finite Volume

作者: Joao Caetano

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摘要: Typically, the exact ground state energy of integrable models at finite volume can be computed using two main methods: thermodynamic Bethe ansatz approach and lattice discretization technique. For quantum sigma (with non-ultra local Poisson structures) bridge between these approaches has only been done through numerical methods. We briefly review techniques on example SU(2) principal chiral field model derive a single integral equation based Faddeev-Reshetikhin model. show that this is equivalent to Gromov, Kazakov Vieira derived from TBA approach.

参考文章(31)
M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. II. Scattering states Communications in Mathematical Physics. ,vol. 105, pp. 153- 188 ,(1986) , 10.1007/BF01211097
Vladimir Kazakov, Sébastien Leurent, Finite size spectrum of SU(N) principal chiral field from discrete Hirota dynamics Nuclear Physics. ,vol. 902, pp. 354- 386 ,(2016) , 10.1016/J.NUCLPHYSB.2015.11.012
P. Zinn-Justin, Quelques applications de l'Ansatz de Bethe (Some applications of the Bethe Ansatz) arXiv: Exactly Solvable and Integrable Systems. ,(1998)
Niklas Beisert, Matthias Staudacher, Long-range psu(2,2|4) Bethe Ansatze for gauge theory and strings Nuclear Physics. ,vol. 727, pp. 1- 62 ,(2005) , 10.1016/J.NUCLPHYSB.2005.06.038
Nikolay Gromov, Vladimir Kazakov, Kazuhiro Sakai, Pedro Vieira, Strings as Multi-Particle States of Quantum Sigma-Models Nuclear Physics. ,vol. 764, pp. 15- 61 ,(2007) , 10.1016/J.NUCLPHYSB.2006.11.018
Gleb Arutyunov, Sergey Frolov, Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model arXiv: High Energy Physics - Theory. ,(2009) , 10.1088/1126-6708/2009/05/068
A.V. Belitsky, Fusion hierarchies for super-Yang–Mills theory Nuclear Physics B. ,vol. 803, pp. 171- 193 ,(2008) , 10.1016/J.NUCLPHYSB.2008.06.001